Finding the Third Proportional to 32,199.75 and 67,338.75

Step by Step Solution

1. Step 1: Write the proportion equation
   32,199.75 : 67,338.75 = 67,338.75 : x
2. Step 2: Convert to fraction form
   32,199.75/67,338.75 = 67,338.75/x
3. Step 3: Cross multiply
   32,199.75x = 67,338.75 × 67,338.75
4. Step 4: Simplify right side
   32,199.75x = 4,534,507,251.56
5. Step 5: Solve for x
   x = 4,534,507,251.56/32,199.75
6. Step 6: Final answer
   x = 140,824.30